686112 has 48 divisors (see below), whose sum is σ = 2060352. Its totient is φ = 195840.

The previous prime is 686099. The next prime is 686117. The reversal of 686112 is 211686.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162 + ... + 1182.

It is an arithmetic number, because the mean of its divisors is an integer number (42924).

2⁶⁸⁶¹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030176).

686112 is an abundant number, since it is smaller than the sum of its proper divisors (1374240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

686112 is a wasteful number, since it uses less digits than its factorization.

686112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1033 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 686112 is about 828.3187792149. The cubic root of 686112 is about 88.1992729307.

Adding to 686112 its reverse (211686), we get a palindrome (897798).

The spelling of 686112 in words is "six hundred eighty-six thousand, one hundred twelve".